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Finding the Fourth Proportional to 10,930.49, 15,089.84 and 7,746.44

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Solution

The fourth proportional to 10,930.49, 15,089.84 and 7,746.44 is: 10,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.49 : 15,089.84 = 7,746.44 : x
  2. Step 2: Convert to fraction form
    10,930.49/15,089.84 = 7,746.44/x
  3. Step 3: Cross multiply
    10,930.49x = 15,089.84 × 7,746.44
  4. Step 4: Simplify right side
    10,930.49x = 116,892,498.61
  5. Step 5: Solve for x
    x = 116,892,498.61/10,930.49
  6. Step 6: Final answer
    x = 10,694.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.